Highest Common Factor of 255, 709 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 255, 709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 255, 709 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 255, 709 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 255, 709 is 1.
HCF(255, 709) = 1
HCF of 255, 709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 255, 709 is 1.
Highest Common Factor of 255,709 is 1
Step 1: Since 709 > 255, we apply the division lemma to 709 and 255, to get
709 = 255 x 2 + 199
Step 2: Since the reminder 255 ≠ 0, we apply division lemma to 199 and 255, to get
255 = 199 x 1 + 56
Step 3: We consider the new divisor 199 and the new remainder 56, and apply the division lemma to get
199 = 56 x 3 + 31
We consider the new divisor 56 and the new remainder 31,and apply the division lemma to get
56 = 31 x 1 + 25
We consider the new divisor 31 and the new remainder 25,and apply the division lemma to get
31 = 25 x 1 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 255 and 709 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(31,25) = HCF(56,31) = HCF(199,56) = HCF(255,199) = HCF(709,255) .
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Frequently Asked Questions on HCF of 255, 709 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 255, 709?
Answer: HCF of 255, 709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 255, 709 using Euclid's Algorithm?
Answer: For arbitrary numbers 255, 709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
